12. Rotational Kinematics

Rotational Velocity & Acceleration

12. Rotational Kinematics

# Rotational Velocity & Acceleration - Video Tutorials & Practice Problems

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concept

## Rotational Velocity & Acceleration

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2

example

## Rotational velocity of Earth

Video duration:

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3

Problem

ProblemCalculate the rotational velocity (in rad/s) of a clock's minute hand.

EXTRA:Calculate the rotational velocity (in rad/s) of a clock's hour hand.

A

8.7×10

^{−4}rad/sB

1.7×10

^{−3}rad/sC

0.0167 rad/s

D

0.104 rad/s

4

Problem

ProblemA wheel of radius 5 m accelerates from 60 RPM to 180 RPM in 2 s. Calculate its angular acceleration.

A

6.28 rad/s

^{2}B

12.6 rad/s

^{2}C

18.8 rad/s

^{2}D

377 rad/s

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PRACTICE PROBLEMS AND ACTIVITIES (24)

- FIGURE EX4.24 shows the angular-position-versus-time graph for a particle moving in a circle. What is the part...
- Flywheels—rapidly rotating disks—are widely used in industry for storing energy. They are spun up slowly when ...
- The angular velocity of a process control motor is ω = ( 20 ─ ½ t² ) rad/s, where t is in seconds. a. At what...
- A 25 g steel ball is attached to the top of a 24-cm-diameter vertical wheel. Starting from rest, the wheel acc...
- The angular velocity of a spinning gyroscope is measured every 0.5 s. The results and the best-fit line from a...
- FIGURE EX4.36 shows the angular velocity graph of the crankshaft in a car. What is the crankshaft's angular ac...
- A computer hard disk 8.0 cm in diameter is initially at rest. A small dot is painted on the edge of the disk. ...
- Your roommate is working on his bicycle and has the bike upside down. He spins the 60-cm-diameter wheel, and y...
- A 5.0-m-diameter merry-go-round is initially turning with a 4.0 s period. It slows down and stops in 20 s. (b)...
- Starting from rest, a DVD steadily accelerates to 500 rpm in 1.0 s, rotates at this angular speed for 3.0 s, t...
- The angular velocity of a process control motor is ω = ( 20 ─ ½ t² ) rad/s, where t is in seconds. b. Through...
- A painted tooth on a spinning gear has angular position θ = (6.0 rad/s⁴)t⁴. What is the tooth's angular accele...
- A 6.0-cm-diameter gear rotates with angular velocity ω = ( 20 ─ ½ t² ) rad/s where t is in seconds. At t = 4.0...
- A 6.0-cm-diameter gear rotates with angular velocity ω = ( 20 ─ ½ t² ) rad/s where t is in seconds. At t = 4.0...
- CALC A fan blade rotates with angular velocity given by ω_z(t) = g - bt^2, where g = 5.00 rad/s and b = 0.800 ...
- CALC A fan blade rotates with angular velocity given by ω_z(t) = g - bt^2, where g = 5.00 rad/s and b = 0.800 ...
- CP CALC The angular velocity of a flywheel obeys the equation ω_z(t) = A + Bt2, where t is in seconds and A an...
- CALC The angle θ through which a disk drive turns is given by θ(t) = a + bt - ct^3, where a, b, and c are cons...
- CALC The angle θ through which a disk drive turns is given by θ(t) = a + bt - ct^3, where a, b, and c are cons...
- CALC The angle θ through which a disk drive turns is given by θ(t) = a + bt - ct^3, where a, b, and c are cons...
- A car tire is 60 cm in diameter. The car is traveling at a speed of 20 m/s. (c) What is the speed of a point a...
- A car tire is 60 cm in diameter. The car is traveling at a speed of 20 m/s. (b) What is the speed of a point a...
- (II) The angular acceleration of a wheel, as a function of time, is α = 4.2 t² ― 9.0 t , where α is in rad/s² ...
- (II) Suppose the force Fₜ in the cord hanging from the pulley of Example 10–10, Fig. 10–22, is given by the re...